Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 38, Issue 14, Pages 3130-3140Publisher
WILEY-BLACKWELL
DOI: 10.1002/mma.3303
Keywords
infinite delays; impulsive differential equations; Lyapunov functions; stability
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Funding
- Project of Shandong Province Higher Educational Science and Technology Program [J12LI04]
- Research Fund for Excellent Young and Middle-aged Scientists of Shandong Province [BS2012DX039]
- National Natural Science Foundation of China [11301308]
- FEDER [MTM2011-22411]
- Ministerio de Economia y Competitividad (Spain) [MTM2011-22411]
- Proyecto de Excelencia (Junta de Andalucia, Spain) [P12-FQM-1492]
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In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. By using Lyapunov functions and the Razumikhin technique, some new theorems on the uniform stability and uniform asymptotic stability are obtained. The obtained results are milder and more general than several recent works. Two examples are given to demonstrate the advantages of the results. Copyright (C) 2014 John Wiley & Sons, Ltd.
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